From the propagation theory of partially coherent light, spectral anomalies and spectral switches of Gaussian Schell-model beams focused by an astigmatic aperture lens are studied. It is shown that, in the case of the astigmatism of the lens, spectral anomalies and spectral switches may also take place on axial points of the focused field. Spectral anomalies and spectral switches depend on spatial coherence, truncation parameter, Fresnel number and bandwidth of the source, but the astigmatism of the lens also affects them. Numerical calculation results are given to illustrate how the astigmatism of the lens affects the spectral shifts and switches. Compared with the astigmatism-free case, the astigmatism can change the critical position where the spectral switch takes place. And the shifts of critical position of the spectral switch take place remarkably to the geometrical focal plane when the astigmatic parameter is large enough. In particular, the spectral switch vanishes as the astigmatic parameter is larger than a certain value.